Simple Harmonic Motion?

Question

If a pendulam clock is accurate at sea level, will it gain or lose time when taken to high altitude?
Please explain I have a test on this thing.......

Answer 1

The period of a pendulum is 2π√[L/g]

When altitude is increased, g is decreased, increasing the period. Therefore the clock will advance more slowly and lose time.

Answer 2

it lose time becuse the pandulam period is: T=2(pi)*(lcos(x))/g)^0.5
so if the pandulam goes to the higher altitude the g decrease so the period enhanced .

Answer 3

gp4rts is right on!